Answer
5x + y = 8
Work Step by Step
We use the formula $y=mx+b$
$y=-5x+b$
now plug in $x=3$ and $y=-7$ to get b:
-7 = -5(3) + b
-7 = -15 + b
b=8
$y=-5x+8$
and it must be written in standard form $Ax+By=C$, so rearrange:
5x + y = 8
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